Families of hypersurfaces that are level-set families of harmonic functions are characterized by a simple analytic condition. Harmonic functions with a specified level-set family are constructed from geometric data. Emphasis is placed on the two-variable case, which embodies the general case.
Schwarz-Pick lemma for harmonic functions
On ratios of harmonic functions
Towards spaces of harmonic functions with traces in square Campanato space and its scaling invariant
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